At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 18 knots. How fast (in knots) is the distance between the ships changing...
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 18 knots. How fast (in knots) is the distance between the ships changing...
A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the answer...
please show steps and reduce if possible, I missed school for this lesson today and am lost! thank you!
please show steps, I missed school for this lesson today and am lost! thank you!
I was trying to figure out this simple math equation and I am having a little difficulty so could you please help me figure this out?
find derivative of y=(4x^3 - 12xtan12x - 6cos6x)/(5x^4) using Product Rule not QR please!
what is the derivative of y=(8cos9x-9cos8x)/(9sin8x-8sin9x) using Product Rule not QR
Consider the rational function f(x) = x2-2x-3 / x3-3x2 . a) Find all vertical and horizontal asymptotes of this rational function. b) Find all x-intercepts and y-intercepts...
A street light is at the top of a 10.5 ft. tall pole. A man 5.6 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he...
Of the infinitely many lines that are tangent to the curve of y = -sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct...
Find the point on the line 4x+3y–6=0 which is closest to the point (–4,1).
For what values of x in [0,2pi] does the graph of y= (cos x)/(2+sin x) have a horizontal tangent? x= ??? x=????
A particle is moving along the curve y = Square root of (x). As the particle passes through the point (4,2), its x-coordinate increases at a rate of 3 cm/s. How fast is the distance from the particle...
Evaluate (d/dx) 3sqrt(ln(5-x^2)) at x=1
A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and have a height of 1 ft. If the trough is being filed with water at a rate of 12 ft3/min,...
If f(x)=x^3-5x+1, find f'(1) f'(1)= ??? Use it to find an equation of the tangent line to the parabola y=x^3-5x+1 at the point (1,-3). y=???
The surface area is 337.5 of a box with a square base. I am using S = x2 + 4xh = 337.5 then I get (337.5 - x2)/4x So V = x2(337.5 - x^2)/(4x) After finding f'(x)...
Find the inverse of x^3-2/x
I found f'(x) to be 3/(sqrt(4-x^2), but as x=2 isn't in the domain of arcsin(x), f'(2) DNE. Apparently there is a tangent line, given that the rest of the problem says to graph it. HELP.
Use the Fundamental Theorem of Calculus to find the derivative of f(x)= ∫ ((t^2/4)-1)^5 dt, upperbound-x^2, lowerbound= 4